Helpful: real life problems and examples
Explained well
Practice problems
Enjoyed: the photos
The chart of areas
I liked the examples they gave, it made be understand
it better
Comments: more color
Make important points stand out
Confusing word problems
Plain with few pictures
Print too small
Not easy to find specific info
Have real-life problems before explaining section
Hard to tell sections apart
CHAPTER 1 Section 1 Goal 1 --> Use a number line to graph and order real numbers. Goal 2 --> Identify properties of and use operations with real numbers. Why should you learn it?
To solve real-life problems, such as how to exchange money.
TRY THIS EXAMPLE --> You are exchanging $400 for Mexican pesos. The exchange rate is 8.5 pesos per dollar, and the bank charges a 1% fee to make the exchange. a. How much money should you take to teh bank if you do not want to use part of the $400 to pay the exchange fee? b. How much will you recieve in pesos? c. When you return from MExico you have 425 pesos left. How much can you get in dollars? Assume that you use other money to pay the exchange fee. To check your answer, go to page 6 in your text book.
whole numbers: 0, 1, 2, 3, ...
integers: ....-3, -2, -1, 0, 1, 2, 3, ...
rational numbers: numbers that can be written as the ratio (a fraction) of two integers. As decimals, they terminate or repeat.
irrational numbers: real numbers that as decimals neither terminate nor repeat
The Properties:
Property: Addition/ Multiplication
Closure: a + b is a unique real number/ ab is a unique real number
Commutative: a + b = b + a/ ab = ba
Associative: (a + b) + c = a + (b + c)/ (ab)c = a(bc)
Identity: a + 0 = a/ 0 + a = a a
Commutative:2+3=3+2 5=5 Associative:(2+3) +4=2+(3+4) (5)4=4(5) Identity:4+0=4 0+4=4 4
A real life example of the properties would be with money. When you take the paychecks for a certain amount of time no matter which roperty you use, the sum should be the same. For instance, with the commutative property, if you have a 100 dollar check and a 450 dollar check, no matter which order you add them in, you will have 550 dollars.
CHAPTER 1 Section 2
Numerical Expression: consists of numbers, operations, and grouping symbols
order of operations:
-Do operations that occur within grouping symbols.
-Evaluate powers.
-Do multiplications and divisions from left to right.
-Do additions and subtractions from left to right.
Variable: a letter that is used to represent one or more numbers.
Algebraic Expression: an expression involving variables.
Mathematical Model: an expression that represents a real-life situation.
Terms: the parts that are added together.
Like Terms: terms with the same variable part.
CHAPTER 1 Section 3
Equation: a statement in which two expressions are equal.
Linear Equation: an equation that can be written in the form ax = b where a and b are constants and a doe not equal 0.
Addition Property of Equality:Add the same number to both sides:
If a = b, thena + c = b - c.
Subtraction Property of Equality: Subtract the same number from both sides:
If a = b, thena - c = b - c.
Multiplication Property of Equality: Multiply both sides by the same nonzero number:
If a = b and c doesn't equal 0, then ac = bc. Division Property of Equality: Divide both sides by the same nonzero number:
If a = b and c doesn't equal 0, then a / c = b / c.
--> Try this:
A REAL ESTATE BROKER'S BASE SALARY IS $18,000. SHE EARNS A 4% COMMISION ON TOTAL SALES. HOW MUCH MUST SHE SELL TO EARN $55,000 TOTAL?
TO CHECK YOUR ANSWER, GO TO PAGE 21 IN YOUR TEXT BOOK.
DID YOU KNOW?
REAL ESTATE BROKERS MUST HAVE A THOROUGH KNOWLEDGE NOT ONLY OF THE REAL ESTATE MARKET, BUT OF MATHEMATICS AS WELL. BROKERS OFTEN PROVIDE BUYERS WITH INFORMATION ABOUT LOANS, LOAN RATES, AND MONTHLY PAYMENTS.
CHAPTER 1 Section 4
FORMULA
VARIABLES
Distance
d = rt
d = distance, r = rate, t = time
Simple Interest
I = Prt
I = interest, P = principal, r = rate, t = time
Temperature
F = (9/5)C + 32
F = degrees Fahrenheit, C = degrees Celsius
Area of Triangle
A = (1/2)bh
A =area, b= base, h = height
Area of Rectangle
A = lw
A = area, l = length, w = width
Perimeter of Rectangle
P =2l + 2w=
P perimeter, l = length, w = width
Area of Trapezoid
A = (1/2)(b1 + b2)h
A =area, b1= one base, b2 = other base, h = height
Area of Circle
A =Pi r²
A = area, r = radius
Circumference of a Circle
C = 2Pi r
C =circumference, r= radius
CHAPTER 1 Section 5
Use a verbal model to write an algebraic model. Verbal model: equation using words. Algebraic model: a mathematical statement.
CHAPTER 1 Section 6
Transformations that Produce Equivalent Inequalities:
Add the same number to both sides.
Subtract the same number from both sides.
Multiply both sides by the same positive number.
Divide both sides by the same positive number.
Multiply both sides by the same negative number and reverse the inequality.
Divide both sides by the same negative number and reverse the inequality.
Compound inequality: two simple inequalities joined together by "and" or "or."
CHAPTER 1 Section 7
Absolute value: the absolute value of a number x, written as |x|, is the distance the number is from 0.
In preface to sections 1.6 & 1.7, view the following on solving inequalities. Click here!
PERIOD 2
Helpful: real life problems and examples
Explained well
Practice problems
Enjoyed: the photos
The chart of areas
I liked the examples they gave, it made be understand
it better
Comments: more color
Make important points stand out
Confusing word problems
Plain with few pictures
Print too small
Not easy to find specific info
Have real-life problems before explaining section
Hard to tell sections apart
CHAPTER 1 Section 1
Goal 1 --> Use a number line to graph and order real numbers.
Goal 2 --> Identify properties of and use operations with real numbers.
Why should you learn it?
To solve real-life problems, such as how to exchange money.
TRY THIS EXAMPLE --> You are exchanging $400 for Mexican pesos. The exchange rate is 8.5 pesos per dollar, and the bank charges a 1% fee to make the exchange.
a. How much money should you take to teh bank if you do not want to use part of the $400 to pay the exchange fee?
b. How much will you recieve in pesos?
c. When you return from MExico you have 425 pesos left. How much can you get in dollars? Assume that you use other money to pay the exchange fee.
To check your answer, go to page 6 in your text book.
whole numbers: 0, 1, 2, 3, ...
integers: ....-3, -2, -1, 0, 1, 2, 3, ...
rational numbers: numbers that can be written as the ratio (a fraction) of two integers. As decimals, they terminate or repeat.
irrational numbers: real numbers that as decimals neither terminate nor repeat
The Properties:
Property: Addition/ Multiplication
Closure: a + b is a unique real number/ ab is a unique real number
Commutative: a + b = b + a/ ab = ba
Associative: (a + b) + c = a + (b + c)/ (ab)c = a(bc)
Identity: a + 0 = a/ 0 + a = a a
Commutative:2+3=3+2 5=5
Associative:(2+3) +4=2+(3+4) (5)4=4(5)
Identity:4+0=4 0+4=4 4
A real life example of the properties would be with money. When you take the paychecks for a certain amount of time no matter which roperty you use, the sum should be the same. For instance, with the commutative property, if you have a 100 dollar check and a 450 dollar check, no matter which order you add them in, you will have 550 dollars.
CHAPTER 1 Section 2
Numerical Expression: consists of numbers, operations, and grouping symbols
order of operations:
-Do operations that occur within grouping symbols.
-Evaluate powers.
-Do multiplications and divisions from left to right.
-Do additions and subtractions from left to right.
Variable: a letter that is used to represent one or more numbers.
Algebraic Expression: an expression involving variables.
Mathematical Model: an expression that represents a real-life situation.
Terms: the parts that are added together.
Like Terms: terms with the same variable part.
CHAPTER 1 Section 3
Equation: a statement in which two expressions are equal.
Linear Equation: an equation that can be written in the form ax = b where a and b are constants and a doe not equal 0.
Addition Property of Equality: Add the same number to both sides:
If a = b, then a + c = b - c.
Subtraction Property of Equality: Subtract the same number from both sides:
If a = b, then a - c = b - c.
Multiplication Property of Equality: Multiply both sides by the same nonzero number:
If a = b and c doesn't equal 0, then ac = bc.
Division Property of Equality: Divide both sides by the same nonzero number:
If a = b and c doesn't equal 0, then a / c = b / c.
--> Try this:
A REAL ESTATE BROKER'S BASE SALARY IS $18,000. SHE EARNS A 4% COMMISION ON TOTAL SALES. HOW MUCH MUST SHE SELL TO EARN $55,000 TOTAL?
TO CHECK YOUR ANSWER, GO TO PAGE 21 IN YOUR TEXT BOOK.
DID YOU KNOW?
REAL ESTATE BROKERS MUST HAVE A THOROUGH KNOWLEDGE NOT ONLY OF THE REAL ESTATE MARKET, BUT OF MATHEMATICS AS WELL. BROKERS OFTEN PROVIDE BUYERS WITH INFORMATION ABOUT LOANS, LOAN RATES, AND MONTHLY PAYMENTS.
CHAPTER 1 Section 4
base, h = height
one base, b2 = other base, h = height
radius
CHAPTER 1 Section 5
Use a verbal model to write an algebraic model.
Verbal model: equation using words.
Algebraic model: a mathematical statement.
CHAPTER 1 Section 6
Transformations that Produce Equivalent Inequalities:
Add the same number to both sides.
Subtract the same number from both sides.
Multiply both sides by the same positive number.
Divide both sides by the same positive number.
Multiply both sides by the same negative number and reverse the inequality.
Divide both sides by the same negative number and reverse the inequality.
Compound inequality: two simple inequalities joined together by "and" or "or."
CHAPTER 1 Section 7
Absolute value: the absolute value of a number x, written as |x|, is the distance the number is from 0.
In preface to sections 1.6 & 1.7, view the following on solving inequalities.
Click here!